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Finding the Fourth Proportional to 22,252.84, 33,388.50 and 9,766.40

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Solution

The fourth proportional to 22,252.84, 33,388.50 and 9,766.40 is: 14,653.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,252.84 : 33,388.50 = 9,766.40 : x
  2. Step 2: Convert to fraction form
    22,252.84/33,388.50 = 9,766.40/x
  3. Step 3: Cross multiply
    22,252.84x = 33,388.50 × 9,766.40
  4. Step 4: Simplify right side
    22,252.84x = 326,085,446.40
  5. Step 5: Solve for x
    x = 326,085,446.40/22,252.84
  6. Step 6: Final answer
    x = 14,653.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.